Resources
To help create a shared language for problem solving, we designed a framework for mathematical problem solving and reasoning. We identified three broad characteristics of questions and activities as especially valuable.
Questions or activities that require pupils to:
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identify and use underlying mathematical structure
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constrain possibilities and work systematically
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explain or justify their thinking
They show how, in combination, they can cultivate the habits of thought that underpin mathematical expertise. They are not exhaustive or mutually exclusive; the richest activities often combine two or more.
These resources exemplify how the characteristics can be used to design questions to develop or reveal pupil understanding. The resources are freely available to anyone who may find them useful.
Each pack contains a series of tasks to be used with pupils, linked to the relevant National Curriculum sub-domain, alongside answers and teacher guidance.
We have grouped tasks into the following age phases. Click below to access the resources.
Licensing information
Unless otherwise stated, all resources available on this website are released under a Creative Commons CC0 (CC01.0) license.
We waive all copyright and related rights. You are free to download, use, copy, modify, adapt, and share these materials for any purpose, including commercial use. You do not need to request permission or provide attribution, although acknowledgement is always appreciated.